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Phantasy [73]
1 year ago
10

A new computer loses 1/2 of its value every year. Which graph could represent the relationship between the year and the computer

’s value?
SOMEONE HELP PLS, YOU’LL GET FREE EASY POINTS IF THE ANSWER IS RIGHT!!!!

Mathematics
1 answer:
Igoryamba1 year ago
5 0

<u>Let's first consider:</u><em> the fact that a new computer loses 1/2 of its value</em>

<em> </em>  ⇒ <u>third choice</u> and <u>fourth choice</u> are <u>eliminated</u>

    ⇒ because of the graph project the computer's value as growing over  

         years

<u>Now let's try to set up an equation</u>:

After 1st year ⇒ Computer's value = total_.value*\frac{1}{2}

After 2nd year ⇒ Computer's value = total_.value*\frac{1}{2}*\frac{1}{2}=total_.value*(\frac{1}{2}  )^2

After 3rd year ⇒ Computer's value =total_.value*\frac{1}{2}*\frac{1}{2}* \frac{1}{2}=total_.value*(\frac{1}{2})^3

     

 ..... (<em>Hopefully you see a pattern)</em>

<em />

After x year ⇒ Computer's value = total_.value*(\frac{1}{2})^x

<u>Therefore, the equation is</u>: total_.value*(\frac{1}{2})^x

  ⇒that means the graph has to <u>exponentially decreasing</u> as it has

     an exponent (<em>meaning the function is exponential</em>) and a base less

     than 1 (<em>meaning that the function is decreasing)</em>

<u>Answer: Choice (1)</u>

<u></u>

Hope that helps!

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